What is the Greatest Common Factor of 61420 and 61435?

Greatest common factor (GCF) of 61420 and 61435 is 5.

GCF(61420,61435) = 5

We will now calculate the prime factors of 61420 and 61435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61420 and 61435.

How to find the GCF of 61420 and 61435?

We will first find the prime factorization of 61420 and 61435. After we will calculate the factors of 61420 and 61435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61435

Prime factors of 61435 are 5, 11, 1117. Prime factorization of 61435 in exponential form is:

61435 = 5¹ × 11¹ × 1117¹

Step-3: Factors of 61420

List of positive integer factors of 61420 that divides 61420 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

Step-4: Factors of 61435

List of positive integer factors of 61435 that divides 61420 without a remainder.

1, 5, 11, 55, 1117, 5585, 12287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61420 and 61435. The biggest common factor number is the GCF number.
So the greatest common factor 61420 and 61435 is 5.

Also check out the Least Common Multiple of 61420 and 61435