What is the Greatest Common Factor of 84973 and 84987?

Greatest common factor (GCF) of 84973 and 84987 is 7.

GCF(84973,84987) = 7

We will now calculate the prime factors of 84973 and 84987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84973 and 84987.

How to find the GCF of 84973 and 84987?

We will first find the prime factorization of 84973 and 84987. After we will calculate the factors of 84973 and 84987 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 84987

Prime factors of 84987 are 3, 7, 19, 71. Prime factorization of 84987 in exponential form is:

84987 = 3² × 7¹ × 19¹ × 71¹

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 84987

List of positive integer factors of 84987 that divides 84973 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 71, 133, 171, 213, 399, 497, 639, 1197, 1349, 1491, 4047, 4473, 9443, 12141, 28329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84973 and 84987. The biggest common factor number is the GCF number.
So the greatest common factor 84973 and 84987 is 7.

Also check out the Least Common Multiple of 84973 and 84987