What is the Greatest Common Factor of 70974 and 70989?

Greatest common factor (GCF) of 70974 and 70989 is 3.

GCF(70974,70989) = 3

We will now calculate the prime factors of 70974 and 70989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70974 and 70989.

How to find the GCF of 70974 and 70989?

We will first find the prime factorization of 70974 and 70989. After we will calculate the factors of 70974 and 70989 and find the biggest common factor number .

Step-1: Prime Factorization of 70974

Prime factors of 70974 are 2, 3, 3943. Prime factorization of 70974 in exponential form is:

70974 = 2¹ × 3² × 3943¹

Step-2: Prime Factorization of 70989

Prime factors of 70989 are 3, 23663. Prime factorization of 70989 in exponential form is:

70989 = 3¹ × 23663¹

Step-3: Factors of 70974

List of positive integer factors of 70974 that divides 70974 without a remainder.

1, 2, 3, 6, 9, 18, 3943, 7886, 11829, 23658, 35487

Step-4: Factors of 70989

List of positive integer factors of 70989 that divides 70974 without a remainder.

1, 3, 23663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70974 and 70989. The biggest common factor number is the GCF number.
So the greatest common factor 70974 and 70989 is 3.

Also check out the Least Common Multiple of 70974 and 70989