What is the Greatest Common Factor of 67956 and 67970?

Greatest common factor (GCF) of 67956 and 67970 is 14.

GCF(67956,67970) = 14

We will now calculate the prime factors of 67956 and 67970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67956 and 67970.

How to find the GCF of 67956 and 67970?

We will first find the prime factorization of 67956 and 67970. After we will calculate the factors of 67956 and 67970 and find the biggest common factor number .

Step-1: Prime Factorization of 67956

Prime factors of 67956 are 2, 3, 7, 809. Prime factorization of 67956 in exponential form is:

67956 = 2² × 3¹ × 7¹ × 809¹

Step-2: Prime Factorization of 67970

Prime factors of 67970 are 2, 5, 7, 971. Prime factorization of 67970 in exponential form is:

67970 = 2¹ × 5¹ × 7¹ × 971¹

Step-3: Factors of 67956

List of positive integer factors of 67956 that divides 67956 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 809, 1618, 2427, 3236, 4854, 5663, 9708, 11326, 16989, 22652, 33978

Step-4: Factors of 67970

List of positive integer factors of 67970 that divides 67956 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 971, 1942, 4855, 6797, 9710, 13594, 33985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67956 and 67970. The biggest common factor number is the GCF number.
So the greatest common factor 67956 and 67970 is 14.

Also check out the Least Common Multiple of 67956 and 67970