What is the Greatest Common Factor of 10508 and 10528?
Greatest common factor (GCF) of 10508 and 10528 is 4.
GCF(10508,10528) = 4
We will now calculate the prime factors of 10508 and 10528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10508 and 10528.
How to find the GCF of 10508 and 10528?
We will first find the prime factorization of 10508 and 10528. After we will calculate the factors of 10508 and 10528 and find the biggest common factor number .
Step-1: Prime Factorization of 10508
Prime factors of 10508 are 2, 37, 71. Prime factorization of 10508 in exponential form is:
10508 = 22 × 371 × 711
Step-2: Prime Factorization of 10528
Prime factors of 10528 are 2, 7, 47. Prime factorization of 10528 in exponential form is:
10528 = 25 × 71 × 471
Step-3: Factors of 10508
List of positive integer factors of 10508 that divides 10508 without a remainder.
1, 2, 4, 37, 71, 74, 142, 148, 284, 2627, 5254
Step-4: Factors of 10528
List of positive integer factors of 10528 that divides 10508 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 94, 112, 188, 224, 329, 376, 658, 752, 1316, 1504, 2632, 5264
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10508 and 10528. The biggest common factor number is the GCF number.
So the greatest common factor 10508 and 10528 is 4.
Also check out the Least Common Multiple of 10508 and 10528
Related Greatest Common Factors of 10508
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- GCF of 10508 and 10523
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- GCF of 10508 and 10526
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- GCF of 10508 and 10528
Related Greatest Common Factors of 10528
- GCF of 10528 and 10532
- GCF of 10528 and 10533
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- GCF of 10528 and 10538
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- GCF of 10528 and 10543
- GCF of 10528 and 10544
- GCF of 10528 and 10545
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