What is the Greatest Common Factor of 53414 and 53428?

Greatest common factor (GCF) of 53414 and 53428 is 2.

GCF(53414,53428) = 2

We will now calculate the prime factors of 53414 and 53428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53414 and 53428.

How to find the GCF of 53414 and 53428?

We will first find the prime factorization of 53414 and 53428. After we will calculate the factors of 53414 and 53428 and find the biggest common factor number .

Step-1: Prime Factorization of 53414

Prime factors of 53414 are 2, 17, 1571. Prime factorization of 53414 in exponential form is:

53414 = 2¹ × 17¹ × 1571¹

Step-2: Prime Factorization of 53428

Prime factors of 53428 are 2, 19, 37. Prime factorization of 53428 in exponential form is:

53428 = 2² × 19² × 37¹

Step-3: Factors of 53414

List of positive integer factors of 53414 that divides 53414 without a remainder.

1, 2, 17, 34, 1571, 3142, 26707

Step-4: Factors of 53428

List of positive integer factors of 53428 that divides 53414 without a remainder.

1, 2, 4, 19, 37, 38, 74, 76, 148, 361, 703, 722, 1406, 1444, 2812, 13357, 26714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53414 and 53428. The biggest common factor number is the GCF number.
So the greatest common factor 53414 and 53428 is 2.

Also check out the Least Common Multiple of 53414 and 53428