What is the Greatest Common Factor of 84954 and 84972?

Greatest common factor (GCF) of 84954 and 84972 is 6.

GCF(84954,84972) = 6

We will now calculate the prime factors of 84954 and 84972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84954 and 84972.

How to find the GCF of 84954 and 84972?

We will first find the prime factorization of 84954 and 84972. After we will calculate the factors of 84954 and 84972 and find the biggest common factor number .

Step-1: Prime Factorization of 84954

Prime factors of 84954 are 2, 3, 14159. Prime factorization of 84954 in exponential form is:

84954 = 2¹ × 3¹ × 14159¹

Step-2: Prime Factorization of 84972

Prime factors of 84972 are 2, 3, 73, 97. Prime factorization of 84972 in exponential form is:

84972 = 2² × 3¹ × 73¹ × 97¹

Step-3: Factors of 84954

List of positive integer factors of 84954 that divides 84954 without a remainder.

1, 2, 3, 6, 14159, 28318, 42477

Step-4: Factors of 84972

List of positive integer factors of 84972 that divides 84954 without a remainder.

1, 2, 3, 4, 6, 12, 73, 97, 146, 194, 219, 291, 292, 388, 438, 582, 876, 1164, 7081, 14162, 21243, 28324, 42486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84954 and 84972. The biggest common factor number is the GCF number.
So the greatest common factor 84954 and 84972 is 6.

Also check out the Least Common Multiple of 84954 and 84972