What is the Greatest Common Factor of 6972 and 6985?

Greatest common factor (GCF) of 6972 and 6985 is 1.

GCF(6972,6985) = 1

We will now calculate the prime factors of 6972 and 6985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6972 and 6985.

How to find the GCF of 6972 and 6985?

We will first find the prime factorization of 6972 and 6985. After we will calculate the factors of 6972 and 6985 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 6985

Prime factors of 6985 are 5, 11, 127. Prime factorization of 6985 in exponential form is:

6985 = 5¹ × 11¹ × 127¹

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 6985

List of positive integer factors of 6985 that divides 6972 without a remainder.

1, 5, 11, 55, 127, 635, 1397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6972 and 6985. The biggest common factor number is the GCF number.
So the greatest common factor 6972 and 6985 is 1.

Also check out the Least Common Multiple of 6972 and 6985