What is the Greatest Common Factor of 62952 and 62964?

Greatest common factor (GCF) of 62952 and 62964 is 12.

GCF(62952,62964) = 12

We will now calculate the prime factors of 62952 and 62964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62952 and 62964.

How to find the GCF of 62952 and 62964?

We will first find the prime factorization of 62952 and 62964. After we will calculate the factors of 62952 and 62964 and find the biggest common factor number .

Step-1: Prime Factorization of 62952

Prime factors of 62952 are 2, 3, 43, 61. Prime factorization of 62952 in exponential form is:

62952 = 2³ × 3¹ × 43¹ × 61¹

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 62952

List of positive integer factors of 62952 that divides 62952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 61, 86, 122, 129, 172, 183, 244, 258, 344, 366, 488, 516, 732, 1032, 1464, 2623, 5246, 7869, 10492, 15738, 20984, 31476

Step-4: Factors of 62964

List of positive integer factors of 62964 that divides 62952 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 62952 and 62964. The biggest common factor number is the GCF number.
So the greatest common factor 62952 and 62964 is 12.

Also check out the Least Common Multiple of 62952 and 62964