What is the Greatest Common Factor of 52261 and 52272?
Greatest common factor (GCF) of 52261 and 52272 is 11.
GCF(52261,52272) = 11
We will now calculate the prime factors of 52261 and 52272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52261 and 52272.
How to find the GCF of 52261 and 52272?
We will first find the prime factorization of 52261 and 52272. After we will calculate the factors of 52261 and 52272 and find the biggest common factor number .
Step-1: Prime Factorization of 52261
Prime factors of 52261 are 11, 4751. Prime factorization of 52261 in exponential form is:
52261 = 111 × 47511
Step-2: Prime Factorization of 52272
Prime factors of 52272 are 2, 3, 11. Prime factorization of 52272 in exponential form is:
52272 = 24 × 33 × 112
Step-3: Factors of 52261
List of positive integer factors of 52261 that divides 52261 without a remainder.
1, 11, 4751
Step-4: Factors of 52272
List of positive integer factors of 52272 that divides 52261 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 121, 132, 144, 176, 198, 216, 242, 264, 297, 363, 396, 432, 484, 528, 594, 726, 792, 968, 1089, 1188, 1452, 1584, 1936, 2178, 2376, 2904, 3267, 4356, 4752, 5808, 6534, 8712, 13068, 17424, 26136
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 52261 and 52272. The biggest common factor number is the GCF number.
So the greatest common factor 52261 and 52272 is 11.
Also check out the Least Common Multiple of 52261 and 52272
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