What is the Greatest Common Factor of 65952 and 65962?

Greatest common factor (GCF) of 65952 and 65962 is 2.

GCF(65952,65962) = 2

We will now calculate the prime factors of 65952 and 65962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65952 and 65962.

How to find the GCF of 65952 and 65962?

We will first find the prime factorization of 65952 and 65962. After we will calculate the factors of 65952 and 65962 and find the biggest common factor number .

Step-1: Prime Factorization of 65952

Prime factors of 65952 are 2, 3, 229. Prime factorization of 65952 in exponential form is:

65952 = 2⁵ × 3² × 229¹

Step-2: Prime Factorization of 65962

Prime factors of 65962 are 2, 13, 43, 59. Prime factorization of 65962 in exponential form is:

65962 = 2¹ × 13¹ × 43¹ × 59¹

Step-3: Factors of 65952

List of positive integer factors of 65952 that divides 65952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 229, 288, 458, 687, 916, 1374, 1832, 2061, 2748, 3664, 4122, 5496, 7328, 8244, 10992, 16488, 21984, 32976

Step-4: Factors of 65962

List of positive integer factors of 65962 that divides 65952 without a remainder.

1, 2, 13, 26, 43, 59, 86, 118, 559, 767, 1118, 1534, 2537, 5074, 32981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65952 and 65962. The biggest common factor number is the GCF number.
So the greatest common factor 65952 and 65962 is 2.

Also check out the Least Common Multiple of 65952 and 65962