What is the Greatest Common Factor of 67940 and 67945?

Greatest common factor (GCF) of 67940 and 67945 is 5.

GCF(67940,67945) = 5

We will now calculate the prime factors of 67940 and 67945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67940 and 67945.

How to find the GCF of 67940 and 67945?

We will first find the prime factorization of 67940 and 67945. After we will calculate the factors of 67940 and 67945 and find the biggest common factor number .

Step-1: Prime Factorization of 67940

Prime factors of 67940 are 2, 5, 43, 79. Prime factorization of 67940 in exponential form is:

67940 = 2² × 5¹ × 43¹ × 79¹

Step-2: Prime Factorization of 67945

Prime factors of 67945 are 5, 107, 127. Prime factorization of 67945 in exponential form is:

67945 = 5¹ × 107¹ × 127¹

Step-3: Factors of 67940

List of positive integer factors of 67940 that divides 67940 without a remainder.

1, 2, 4, 5, 10, 20, 43, 79, 86, 158, 172, 215, 316, 395, 430, 790, 860, 1580, 3397, 6794, 13588, 16985, 33970

Step-4: Factors of 67945

List of positive integer factors of 67945 that divides 67940 without a remainder.

1, 5, 107, 127, 535, 635, 13589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67940 and 67945. The biggest common factor number is the GCF number.
So the greatest common factor 67940 and 67945 is 5.

Also check out the Least Common Multiple of 67940 and 67945