What is the Greatest Common Factor of 62952 and 62962?

Greatest common factor (GCF) of 62952 and 62962 is 2.

GCF(62952,62962) = 2

We will now calculate the prime factors of 62952 and 62962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62952 and 62962.

How to find the GCF of 62952 and 62962?

We will first find the prime factorization of 62952 and 62962. After we will calculate the factors of 62952 and 62962 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 62962

Prime factors of 62962 are 2, 31481. Prime factorization of 62962 in exponential form is:

62962 = 2¹ × 31481¹

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 62962

List of positive integer factors of 62962 that divides 62952 without a remainder.

1, 2, 31481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62952 and 62962. The biggest common factor number is the GCF number.
So the greatest common factor 62952 and 62962 is 2.

Also check out the Least Common Multiple of 62952 and 62962