What is the Greatest Common Factor of 60956 and 60969?

Greatest common factor (GCF) of 60956 and 60969 is 1.

GCF(60956,60969) = 1

We will now calculate the prime factors of 60956 and 60969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60956 and 60969.

How to find the GCF of 60956 and 60969?

We will first find the prime factorization of 60956 and 60969. After we will calculate the factors of 60956 and 60969 and find the biggest common factor number .

Step-1: Prime Factorization of 60956

Prime factors of 60956 are 2, 7, 311. Prime factorization of 60956 in exponential form is:

60956 = 2² × 7² × 311¹

Step-2: Prime Factorization of 60969

Prime factors of 60969 are 3, 20323. Prime factorization of 60969 in exponential form is:

60969 = 3¹ × 20323¹

Step-3: Factors of 60956

List of positive integer factors of 60956 that divides 60956 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 311, 622, 1244, 2177, 4354, 8708, 15239, 30478

Step-4: Factors of 60969

List of positive integer factors of 60969 that divides 60956 without a remainder.

1, 3, 20323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60956 and 60969. The biggest common factor number is the GCF number.
So the greatest common factor 60956 and 60969 is 1.

Also check out the Least Common Multiple of 60956 and 60969