What is the Greatest Common Factor of 60746 and 60760?

Greatest common factor (GCF) of 60746 and 60760 is 14.

GCF(60746,60760) = 14

We will now calculate the prime factors of 60746 and 60760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60746 and 60760.

How to find the GCF of 60746 and 60760?

We will first find the prime factorization of 60746 and 60760. After we will calculate the factors of 60746 and 60760 and find the biggest common factor number .

Step-1: Prime Factorization of 60746

Prime factors of 60746 are 2, 7, 4339. Prime factorization of 60746 in exponential form is:

60746 = 2¹ × 7¹ × 4339¹

Step-2: Prime Factorization of 60760

Prime factors of 60760 are 2, 5, 7, 31. Prime factorization of 60760 in exponential form is:

60760 = 2³ × 5¹ × 7² × 31¹

Step-3: Factors of 60746

List of positive integer factors of 60746 that divides 60746 without a remainder.

1, 2, 7, 14, 4339, 8678, 30373

Step-4: Factors of 60760

List of positive integer factors of 60760 that divides 60746 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 49, 56, 62, 70, 98, 124, 140, 155, 196, 217, 245, 248, 280, 310, 392, 434, 490, 620, 868, 980, 1085, 1240, 1519, 1736, 1960, 2170, 3038, 4340, 6076, 7595, 8680, 12152, 15190, 30380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60746 and 60760. The biggest common factor number is the GCF number.
So the greatest common factor 60746 and 60760 is 14.

Also check out the Least Common Multiple of 60746 and 60760