What is the Greatest Common Factor of 67609 and 67624?

Greatest common factor (GCF) of 67609 and 67624 is 1.

GCF(67609,67624) = 1

We will now calculate the prime factors of 67609 and 67624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67609 and 67624.

How to find the GCF of 67609 and 67624?

We will first find the prime factorization of 67609 and 67624. After we will calculate the factors of 67609 and 67624 and find the biggest common factor number .

Step-1: Prime Factorization of 67609

Prime factors of 67609 are 17, 41, 97. Prime factorization of 67609 in exponential form is:

67609 = 17¹ × 41¹ × 97¹

Step-2: Prime Factorization of 67624

Prime factors of 67624 are 2, 79, 107. Prime factorization of 67624 in exponential form is:

67624 = 2³ × 79¹ × 107¹

Step-3: Factors of 67609

List of positive integer factors of 67609 that divides 67609 without a remainder.

1, 17, 41, 97, 697, 1649, 3977

Step-4: Factors of 67624

List of positive integer factors of 67624 that divides 67609 without a remainder.

1, 2, 4, 8, 79, 107, 158, 214, 316, 428, 632, 856, 8453, 16906, 33812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67609 and 67624. The biggest common factor number is the GCF number.
So the greatest common factor 67609 and 67624 is 1.

Also check out the Least Common Multiple of 67609 and 67624