What is the Greatest Common Factor of 61480 and 61500?

Greatest common factor (GCF) of 61480 and 61500 is 20.

GCF(61480,61500) = 20

We will now calculate the prime factors of 61480 and 61500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61480 and 61500.

How to find the GCF of 61480 and 61500?

We will first find the prime factorization of 61480 and 61500. After we will calculate the factors of 61480 and 61500 and find the biggest common factor number .

Step-1: Prime Factorization of 61480

Prime factors of 61480 are 2, 5, 29, 53. Prime factorization of 61480 in exponential form is:

61480 = 2³ × 5¹ × 29¹ × 53¹

Step-2: Prime Factorization of 61500

Prime factors of 61500 are 2, 3, 5, 41. Prime factorization of 61500 in exponential form is:

61500 = 2² × 3¹ × 5³ × 41¹

Step-3: Factors of 61480

List of positive integer factors of 61480 that divides 61480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 53, 58, 106, 116, 145, 212, 232, 265, 290, 424, 530, 580, 1060, 1160, 1537, 2120, 3074, 6148, 7685, 12296, 15370, 30740

Step-4: Factors of 61500

List of positive integer factors of 61500 that divides 61480 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 41, 50, 60, 75, 82, 100, 123, 125, 150, 164, 205, 246, 250, 300, 375, 410, 492, 500, 615, 750, 820, 1025, 1230, 1500, 2050, 2460, 3075, 4100, 5125, 6150, 10250, 12300, 15375, 20500, 30750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61480 and 61500. The biggest common factor number is the GCF number.
So the greatest common factor 61480 and 61500 is 20.

Also check out the Least Common Multiple of 61480 and 61500