What is the Greatest Common Factor of 60921 and 60936?

Greatest common factor (GCF) of 60921 and 60936 is 3.

GCF(60921,60936) = 3

We will now calculate the prime factors of 60921 and 60936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60921 and 60936.

How to find the GCF of 60921 and 60936?

We will first find the prime factorization of 60921 and 60936. After we will calculate the factors of 60921 and 60936 and find the biggest common factor number .

Step-1: Prime Factorization of 60921

Prime factors of 60921 are 3, 7, 967. Prime factorization of 60921 in exponential form is:

60921 = 3² × 7¹ × 967¹

Step-2: Prime Factorization of 60936

Prime factors of 60936 are 2, 3, 2539. Prime factorization of 60936 in exponential form is:

60936 = 2³ × 3¹ × 2539¹

Step-3: Factors of 60921

List of positive integer factors of 60921 that divides 60921 without a remainder.

1, 3, 7, 9, 21, 63, 967, 2901, 6769, 8703, 20307

Step-4: Factors of 60936

List of positive integer factors of 60936 that divides 60921 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2539, 5078, 7617, 10156, 15234, 20312, 30468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60921 and 60936. The biggest common factor number is the GCF number.
So the greatest common factor 60921 and 60936 is 3.

Also check out the Least Common Multiple of 60921 and 60936