What is the Greatest Common Factor of 62944 and 62964?

Greatest common factor (GCF) of 62944 and 62964 is 4.

GCF(62944,62964) = 4

We will now calculate the prime factors of 62944 and 62964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62944 and 62964.

How to find the GCF of 62944 and 62964?

We will first find the prime factorization of 62944 and 62964. After we will calculate the factors of 62944 and 62964 and find the biggest common factor number .

Step-1: Prime Factorization of 62944

Prime factors of 62944 are 2, 7, 281. Prime factorization of 62944 in exponential form is:

62944 = 2⁵ × 7¹ × 281¹

Step-2: Prime Factorization of 62964

Prime factors of 62964 are 2, 3, 11, 53. Prime factorization of 62964 in exponential form is:

62964 = 2² × 3³ × 11¹ × 53¹

Step-3: Factors of 62944

List of positive integer factors of 62944 that divides 62944 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 281, 562, 1124, 1967, 2248, 3934, 4496, 7868, 8992, 15736, 31472

Step-4: Factors of 62964

List of positive integer factors of 62964 that divides 62944 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 53, 54, 66, 99, 106, 108, 132, 159, 198, 212, 297, 318, 396, 477, 583, 594, 636, 954, 1166, 1188, 1431, 1749, 1908, 2332, 2862, 3498, 5247, 5724, 6996, 10494, 15741, 20988, 31482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62944 and 62964. The biggest common factor number is the GCF number.
So the greatest common factor 62944 and 62964 is 4.

Also check out the Least Common Multiple of 62944 and 62964