What is the Greatest Common Factor of 67574 and 67585?

Greatest common factor (GCF) of 67574 and 67585 is 1.

GCF(67574,67585) = 1

We will now calculate the prime factors of 67574 and 67585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67574 and 67585.

How to find the GCF of 67574 and 67585?

We will first find the prime factorization of 67574 and 67585. After we will calculate the factors of 67574 and 67585 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 67585

Prime factors of 67585 are 5, 7, 1931. Prime factorization of 67585 in exponential form is:

67585 = 5¹ × 7¹ × 1931¹

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 67585

List of positive integer factors of 67585 that divides 67574 without a remainder.

1, 5, 7, 35, 1931, 9655, 13517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67574 and 67585. The biggest common factor number is the GCF number.
So the greatest common factor 67574 and 67585 is 1.

Also check out the Least Common Multiple of 67574 and 67585