What is the Greatest Common Factor of 61770 and 61780?

Greatest common factor (GCF) of 61770 and 61780 is 10.

GCF(61770,61780) = 10

We will now calculate the prime factors of 61770 and 61780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61770 and 61780.

How to find the GCF of 61770 and 61780?

We will first find the prime factorization of 61770 and 61780. After we will calculate the factors of 61770 and 61780 and find the biggest common factor number .

Step-1: Prime Factorization of 61770

Prime factors of 61770 are 2, 3, 5, 29, 71. Prime factorization of 61770 in exponential form is:

61770 = 2¹ × 3¹ × 5¹ × 29¹ × 71¹

Step-2: Prime Factorization of 61780

Prime factors of 61780 are 2, 5, 3089. Prime factorization of 61780 in exponential form is:

61780 = 2² × 5¹ × 3089¹

Step-3: Factors of 61770

List of positive integer factors of 61770 that divides 61770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 71, 87, 142, 145, 174, 213, 290, 355, 426, 435, 710, 870, 1065, 2059, 2130, 4118, 6177, 10295, 12354, 20590, 30885

Step-4: Factors of 61780

List of positive integer factors of 61780 that divides 61770 without a remainder.

1, 2, 4, 5, 10, 20, 3089, 6178, 12356, 15445, 30890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61770 and 61780. The biggest common factor number is the GCF number.
So the greatest common factor 61770 and 61780 is 10.

Also check out the Least Common Multiple of 61770 and 61780