What is the Greatest Common Factor of 61420 and 61438?

Greatest common factor (GCF) of 61420 and 61438 is 2.

GCF(61420,61438) = 2

We will now calculate the prime factors of 61420 and 61438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61420 and 61438.

How to find the GCF of 61420 and 61438?

We will first find the prime factorization of 61420 and 61438. After we will calculate the factors of 61420 and 61438 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 61438

Prime factors of 61438 are 2, 13, 17, 139. Prime factorization of 61438 in exponential form is:

61438 = 2¹ × 13¹ × 17¹ × 139¹

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 61438

List of positive integer factors of 61438 that divides 61420 without a remainder.

1, 2, 13, 17, 26, 34, 139, 221, 278, 442, 1807, 2363, 3614, 4726, 30719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61420 and 61438. The biggest common factor number is the GCF number.
So the greatest common factor 61420 and 61438 is 2.

Also check out the Least Common Multiple of 61420 and 61438