What is the Greatest Common Factor of 67580 and 67598?

Greatest common factor (GCF) of 67580 and 67598 is 2.

GCF(67580,67598) = 2

We will now calculate the prime factors of 67580 and 67598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67580 and 67598.

How to find the GCF of 67580 and 67598?

We will first find the prime factorization of 67580 and 67598. After we will calculate the factors of 67580 and 67598 and find the biggest common factor number .

Step-1: Prime Factorization of 67580

Prime factors of 67580 are 2, 5, 31, 109. Prime factorization of 67580 in exponential form is:

67580 = 2² × 5¹ × 31¹ × 109¹

Step-2: Prime Factorization of 67598

Prime factors of 67598 are 2, 73, 463. Prime factorization of 67598 in exponential form is:

67598 = 2¹ × 73¹ × 463¹

Step-3: Factors of 67580

List of positive integer factors of 67580 that divides 67580 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 109, 124, 155, 218, 310, 436, 545, 620, 1090, 2180, 3379, 6758, 13516, 16895, 33790

Step-4: Factors of 67598

List of positive integer factors of 67598 that divides 67580 without a remainder.

1, 2, 73, 146, 463, 926, 33799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67580 and 67598. The biggest common factor number is the GCF number.
So the greatest common factor 67580 and 67598 is 2.

Also check out the Least Common Multiple of 67580 and 67598