What is the Greatest Common Factor of 47495 and 47502?
Greatest common factor (GCF) of 47495 and 47502 is 7.
GCF(47495,47502) = 7
We will now calculate the prime factors of 47495 and 47502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47495 and 47502.
How to find the GCF of 47495 and 47502?
We will first find the prime factorization of 47495 and 47502. After we will calculate the factors of 47495 and 47502 and find the biggest common factor number .
Step-1: Prime Factorization of 47495
Prime factors of 47495 are 5, 7, 23, 59. Prime factorization of 47495 in exponential form is:
47495 = 51 × 71 × 231 × 591
Step-2: Prime Factorization of 47502
Prime factors of 47502 are 2, 3, 7, 13, 29. Prime factorization of 47502 in exponential form is:
47502 = 21 × 32 × 71 × 131 × 291
Step-3: Factors of 47495
List of positive integer factors of 47495 that divides 47495 without a remainder.
1, 5, 7, 23, 35, 59, 115, 161, 295, 413, 805, 1357, 2065, 6785, 9499
Step-4: Factors of 47502
List of positive integer factors of 47502 that divides 47495 without a remainder.
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 29, 39, 42, 58, 63, 78, 87, 91, 117, 126, 174, 182, 203, 234, 261, 273, 377, 406, 522, 546, 609, 754, 819, 1131, 1218, 1638, 1827, 2262, 2639, 3393, 3654, 5278, 6786, 7917, 15834, 23751
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 47495 and 47502. The biggest common factor number is the GCF number.
So the greatest common factor 47495 and 47502 is 7.
Also check out the Least Common Multiple of 47495 and 47502
Related Greatest Common Factors of 47495
- GCF of 47495 and 47499
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- GCF of 47495 and 47502
- GCF of 47495 and 47503
- GCF of 47495 and 47504
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Related Greatest Common Factors of 47502
- GCF of 47502 and 47506
- GCF of 47502 and 47507
- GCF of 47502 and 47508
- GCF of 47502 and 47509
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- GCF of 47502 and 47518
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