What is the Greatest Common Factor of 84973 and 84980?

Greatest common factor (GCF) of 84973 and 84980 is 7.

GCF(84973,84980) = 7

We will now calculate the prime factors of 84973 and 84980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84973 and 84980.

How to find the GCF of 84973 and 84980?

We will first find the prime factorization of 84973 and 84980. After we will calculate the factors of 84973 and 84980 and find the biggest common factor number .

Step-1: Prime Factorization of 84973

Prime factors of 84973 are 7, 61, 199. Prime factorization of 84973 in exponential form is:

84973 = 7¹ × 61¹ × 199¹

Step-2: Prime Factorization of 84980

Prime factors of 84980 are 2, 5, 7, 607. Prime factorization of 84980 in exponential form is:

84980 = 2² × 5¹ × 7¹ × 607¹

Step-3: Factors of 84973

List of positive integer factors of 84973 that divides 84973 without a remainder.

1, 7, 61, 199, 427, 1393, 12139

Step-4: Factors of 84980

List of positive integer factors of 84980 that divides 84973 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 607, 1214, 2428, 3035, 4249, 6070, 8498, 12140, 16996, 21245, 42490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84973 and 84980. The biggest common factor number is the GCF number.
So the greatest common factor 84973 and 84980 is 7.

Also check out the Least Common Multiple of 84973 and 84980