What is the Greatest Common Factor of 61968 and 61987?

Greatest common factor (GCF) of 61968 and 61987 is 1.

GCF(61968,61987) = 1

We will now calculate the prime factors of 61968 and 61987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61968 and 61987.

How to find the GCF of 61968 and 61987?

We will first find the prime factorization of 61968 and 61987. After we will calculate the factors of 61968 and 61987 and find the biggest common factor number .

Step-1: Prime Factorization of 61968

Prime factors of 61968 are 2, 3, 1291. Prime factorization of 61968 in exponential form is:

61968 = 2⁴ × 3¹ × 1291¹

Step-2: Prime Factorization of 61987

Prime factors of 61987 are 61987. Prime factorization of 61987 in exponential form is:

61987 = 61987¹

Step-3: Factors of 61968

List of positive integer factors of 61968 that divides 61968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1291, 2582, 3873, 5164, 7746, 10328, 15492, 20656, 30984

Step-4: Factors of 61987

List of positive integer factors of 61987 that divides 61968 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61968 and 61987. The biggest common factor number is the GCF number.
So the greatest common factor 61968 and 61987 is 1.

Also check out the Least Common Multiple of 61968 and 61987