What is the Greatest Common Factor of 61400 and 61420?

Greatest common factor (GCF) of 61400 and 61420 is 20.

GCF(61400,61420) = 20

We will now calculate the prime factors of 61400 and 61420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61400 and 61420.

How to find the GCF of 61400 and 61420?

We will first find the prime factorization of 61400 and 61420. After we will calculate the factors of 61400 and 61420 and find the biggest common factor number .

Step-1: Prime Factorization of 61400

Prime factors of 61400 are 2, 5, 307. Prime factorization of 61400 in exponential form is:

61400 = 2³ × 5² × 307¹

Step-2: Prime Factorization of 61420

Prime factors of 61420 are 2, 5, 37, 83. Prime factorization of 61420 in exponential form is:

61420 = 2² × 5¹ × 37¹ × 83¹

Step-3: Factors of 61400

List of positive integer factors of 61400 that divides 61400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 307, 614, 1228, 1535, 2456, 3070, 6140, 7675, 12280, 15350, 30700

Step-4: Factors of 61420

List of positive integer factors of 61420 that divides 61400 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 83, 148, 166, 185, 332, 370, 415, 740, 830, 1660, 3071, 6142, 12284, 15355, 30710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61400 and 61420. The biggest common factor number is the GCF number.
So the greatest common factor 61400 and 61420 is 20.

Also check out the Least Common Multiple of 61400 and 61420