What is the Greatest Common Factor of 60840 and 60860?

Greatest common factor (GCF) of 60840 and 60860 is 20.

GCF(60840,60860) = 20

We will now calculate the prime factors of 60840 and 60860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60840 and 60860.

How to find the GCF of 60840 and 60860?

We will first find the prime factorization of 60840 and 60860. After we will calculate the factors of 60840 and 60860 and find the biggest common factor number .

Step-1: Prime Factorization of 60840

Prime factors of 60840 are 2, 3, 5, 13. Prime factorization of 60840 in exponential form is:

60840 = 2³ × 3² × 5¹ × 13²

Step-2: Prime Factorization of 60860

Prime factors of 60860 are 2, 5, 17, 179. Prime factorization of 60860 in exponential form is:

60860 = 2² × 5¹ × 17¹ × 179¹

Step-3: Factors of 60840

List of positive integer factors of 60840 that divides 60840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 169, 180, 195, 234, 260, 312, 338, 360, 390, 468, 507, 520, 585, 676, 780, 845, 936, 1014, 1170, 1352, 1521, 1560, 1690, 2028, 2340, 2535, 3042, 3380, 4056, 4680, 5070, 6084, 6760, 7605, 10140, 12168, 15210, 20280, 30420

Step-4: Factors of 60860

List of positive integer factors of 60860 that divides 60840 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 179, 340, 358, 716, 895, 1790, 3043, 3580, 6086, 12172, 15215, 30430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60840 and 60860. The biggest common factor number is the GCF number.
So the greatest common factor 60840 and 60860 is 20.

Also check out the Least Common Multiple of 60840 and 60860