What is the Greatest Common Factor of 84953 and 84972?

Greatest common factor (GCF) of 84953 and 84972 is 1.

GCF(84953,84972) = 1

We will now calculate the prime factors of 84953 and 84972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84953 and 84972.

How to find the GCF of 84953 and 84972?

We will first find the prime factorization of 84953 and 84972. After we will calculate the factors of 84953 and 84972 and find the biggest common factor number .

Step-1: Prime Factorization of 84953

Prime factors of 84953 are 11, 7723. Prime factorization of 84953 in exponential form is:

84953 = 11¹ × 7723¹

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 84953

List of positive integer factors of 84953 that divides 84953 without a remainder.

1, 11, 7723

Step-4: Factors of 84972

List of positive integer factors of 84972 that divides 84953 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 84953 and 84972. The biggest common factor number is the GCF number.
So the greatest common factor 84953 and 84972 is 1.

Also check out the Least Common Multiple of 84953 and 84972