What is the Greatest Common Factor of 72562 and 72576?

Greatest common factor (GCF) of 72562 and 72576 is 14.

GCF(72562,72576) = 14

We will now calculate the prime factors of 72562 and 72576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72562 and 72576.

How to find the GCF of 72562 and 72576?

We will first find the prime factorization of 72562 and 72576. After we will calculate the factors of 72562 and 72576 and find the biggest common factor number .

Step-1: Prime Factorization of 72562

Prime factors of 72562 are 2, 7, 71, 73. Prime factorization of 72562 in exponential form is:

72562 = 2¹ × 7¹ × 71¹ × 73¹

Step-2: Prime Factorization of 72576

Prime factors of 72576 are 2, 3, 7. Prime factorization of 72576 in exponential form is:

72576 = 2⁷ × 3⁴ × 7¹

Step-3: Factors of 72562

List of positive integer factors of 72562 that divides 72562 without a remainder.

1, 2, 7, 14, 71, 73, 142, 146, 497, 511, 994, 1022, 5183, 10366, 36281

Step-4: Factors of 72576

List of positive integer factors of 72576 that divides 72562 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 64, 72, 81, 84, 96, 108, 112, 126, 128, 144, 162, 168, 189, 192, 216, 224, 252, 288, 324, 336, 378, 384, 432, 448, 504, 567, 576, 648, 672, 756, 864, 896, 1008, 1134, 1152, 1296, 1344, 1512, 1728, 2016, 2268, 2592, 2688, 3024, 3456, 4032, 4536, 5184, 6048, 8064, 9072, 10368, 12096, 18144, 24192, 36288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72562 and 72576. The biggest common factor number is the GCF number.
So the greatest common factor 72562 and 72576 is 14.

Also check out the Least Common Multiple of 72562 and 72576