What is the Greatest Common Factor of 67574 and 67580?

Greatest common factor (GCF) of 67574 and 67580 is 2.

GCF(67574,67580) = 2

We will now calculate the prime factors of 67574 and 67580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67574 and 67580.

How to find the GCF of 67574 and 67580?

We will first find the prime factorization of 67574 and 67580. After we will calculate the factors of 67574 and 67580 and find the biggest common factor number .

Step-1: Prime Factorization of 67574

Prime factors of 67574 are 2, 13, 23, 113. Prime factorization of 67574 in exponential form is:

67574 = 2¹ × 13¹ × 23¹ × 113¹

Step-2: 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-3: Factors of 67574

List of positive integer factors of 67574 that divides 67574 without a remainder.

1, 2, 13, 23, 26, 46, 113, 226, 299, 598, 1469, 2599, 2938, 5198, 33787

Step-4: Factors of 67580

List of positive integer factors of 67580 that divides 67574 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67574 and 67580. The biggest common factor number is the GCF number.
So the greatest common factor 67574 and 67580 is 2.

Also check out the Least Common Multiple of 67574 and 67580