What is the Greatest Common Factor of 6972 and 6989?

Greatest common factor (GCF) of 6972 and 6989 is 1.

GCF(6972,6989) = 1

We will now calculate the prime factors of 6972 and 6989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6972 and 6989.

How to find the GCF of 6972 and 6989?

We will first find the prime factorization of 6972 and 6989. After we will calculate the factors of 6972 and 6989 and find the biggest common factor number .

Step-1: Prime Factorization of 6972

Prime factors of 6972 are 2, 3, 7, 83. Prime factorization of 6972 in exponential form is:

6972 = 2² × 3¹ × 7¹ × 83¹

Step-2: Prime Factorization of 6989

Prime factors of 6989 are 29, 241. Prime factorization of 6989 in exponential form is:

6989 = 29¹ × 241¹

Step-3: Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486

Step-4: Factors of 6989

List of positive integer factors of 6989 that divides 6972 without a remainder.

1, 29, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6972 and 6989. The biggest common factor number is the GCF number.
So the greatest common factor 6972 and 6989 is 1.

Also check out the Least Common Multiple of 6972 and 6989