What is the Greatest Common Factor of 60574 and 60584?

Greatest common factor (GCF) of 60574 and 60584 is 2.

GCF(60574,60584) = 2

We will now calculate the prime factors of 60574 and 60584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60574 and 60584.

How to find the GCF of 60574 and 60584?

We will first find the prime factorization of 60574 and 60584. After we will calculate the factors of 60574 and 60584 and find the biggest common factor number .

Step-1: Prime Factorization of 60574

Prime factors of 60574 are 2, 31, 977. Prime factorization of 60574 in exponential form is:

60574 = 2¹ × 31¹ × 977¹

Step-2: Prime Factorization of 60584

Prime factors of 60584 are 2, 7573. Prime factorization of 60584 in exponential form is:

60584 = 2³ × 7573¹

Step-3: Factors of 60574

List of positive integer factors of 60574 that divides 60574 without a remainder.

1, 2, 31, 62, 977, 1954, 30287

Step-4: Factors of 60584

List of positive integer factors of 60584 that divides 60574 without a remainder.

1, 2, 4, 8, 7573, 15146, 30292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60574 and 60584. The biggest common factor number is the GCF number.
So the greatest common factor 60574 and 60584 is 2.

Also check out the Least Common Multiple of 60574 and 60584