What is the Greatest Common Factor of 62976 and 62987?

Greatest common factor (GCF) of 62976 and 62987 is 1.

GCF(62976,62987) = 1

We will now calculate the prime factors of 62976 and 62987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62976 and 62987.

How to find the GCF of 62976 and 62987?

We will first find the prime factorization of 62976 and 62987. After we will calculate the factors of 62976 and 62987 and find the biggest common factor number .

Step-1: Prime Factorization of 62976

Prime factors of 62976 are 2, 3, 41. Prime factorization of 62976 in exponential form is:

62976 = 2⁹ × 3¹ × 41¹

Step-2: Prime Factorization of 62987

Prime factors of 62987 are 62987. Prime factorization of 62987 in exponential form is:

62987 = 62987¹

Step-3: Factors of 62976

List of positive integer factors of 62976 that divides 62976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 128, 164, 192, 246, 256, 328, 384, 492, 512, 656, 768, 984, 1312, 1536, 1968, 2624, 3936, 5248, 7872, 10496, 15744, 20992, 31488

Step-4: Factors of 62987

List of positive integer factors of 62987 that divides 62976 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62976 and 62987. The biggest common factor number is the GCF number.
So the greatest common factor 62976 and 62987 is 1.

Also check out the Least Common Multiple of 62976 and 62987