What is the Greatest Common Factor of 60760 and 60774?

Greatest common factor (GCF) of 60760 and 60774 is 14.

GCF(60760,60774) = 14

We will now calculate the prime factors of 60760 and 60774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60760 and 60774.

How to find the GCF of 60760 and 60774?

We will first find the prime factorization of 60760 and 60774. After we will calculate the factors of 60760 and 60774 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60774

Prime factors of 60774 are 2, 3, 7, 1447. Prime factorization of 60774 in exponential form is:

60774 = 2¹ × 3¹ × 7¹ × 1447¹

Step-3: Factors of 60760

List of positive integer factors of 60760 that divides 60760 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

Step-4: Factors of 60774

List of positive integer factors of 60774 that divides 60760 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1447, 2894, 4341, 8682, 10129, 20258, 30387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60760 and 60774. The biggest common factor number is the GCF number.
So the greatest common factor 60760 and 60774 is 14.

Also check out the Least Common Multiple of 60760 and 60774