What is the Greatest Common Factor of 83974 and 83979?

Greatest common factor (GCF) of 83974 and 83979 is 1.

GCF(83974,83979) = 1

We will now calculate the prime factors of 83974 and 83979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83974 and 83979.

How to find the GCF of 83974 and 83979?

We will first find the prime factorization of 83974 and 83979. After we will calculate the factors of 83974 and 83979 and find the biggest common factor number .

Step-1: Prime Factorization of 83974

Prime factors of 83974 are 2, 11, 347. Prime factorization of 83974 in exponential form is:

83974 = 2¹ × 11² × 347¹

Step-2: Prime Factorization of 83979

Prime factors of 83979 are 3, 7, 31, 43. Prime factorization of 83979 in exponential form is:

83979 = 3² × 7¹ × 31¹ × 43¹

Step-3: Factors of 83974

List of positive integer factors of 83974 that divides 83974 without a remainder.

1, 2, 11, 22, 121, 242, 347, 694, 3817, 7634, 41987

Step-4: Factors of 83979

List of positive integer factors of 83979 that divides 83974 without a remainder.

1, 3, 7, 9, 21, 31, 43, 63, 93, 129, 217, 279, 301, 387, 651, 903, 1333, 1953, 2709, 3999, 9331, 11997, 27993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83974 and 83979. The biggest common factor number is the GCF number.
So the greatest common factor 83974 and 83979 is 1.

Also check out the Least Common Multiple of 83974 and 83979