What is the Greatest Common Factor of 6985 and 6996?

Greatest common factor (GCF) of 6985 and 6996 is 11.

GCF(6985,6996) = 11

We will now calculate the prime factors of 6985 and 6996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6985 and 6996.

How to find the GCF of 6985 and 6996?

We will first find the prime factorization of 6985 and 6996. After we will calculate the factors of 6985 and 6996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6996

Prime factors of 6996 are 2, 3, 11, 53. Prime factorization of 6996 in exponential form is:

6996 = 2² × 3¹ × 11¹ × 53¹

Step-3: Factors of 6985

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

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

Step-4: Factors of 6996

List of positive integer factors of 6996 that divides 6985 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6985 and 6996. The biggest common factor number is the GCF number.
So the greatest common factor 6985 and 6996 is 11.

Also check out the Least Common Multiple of 6985 and 6996