What is the Greatest Common Factor of 67970 and 67990?

Greatest common factor (GCF) of 67970 and 67990 is 10.

GCF(67970,67990) = 10

We will now calculate the prime factors of 67970 and 67990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67970 and 67990.

How to find the GCF of 67970 and 67990?

We will first find the prime factorization of 67970 and 67990. After we will calculate the factors of 67970 and 67990 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67990

Prime factors of 67990 are 2, 5, 13, 523. Prime factorization of 67990 in exponential form is:

67990 = 2¹ × 5¹ × 13¹ × 523¹

Step-3: Factors of 67970

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

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

Step-4: Factors of 67990

List of positive integer factors of 67990 that divides 67970 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 523, 1046, 2615, 5230, 6799, 13598, 33995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67970 and 67990. The biggest common factor number is the GCF number.
So the greatest common factor 67970 and 67990 is 10.

Also check out the Least Common Multiple of 67970 and 67990