What is the Greatest Common Factor of 53830 and 53837?

Greatest common factor (GCF) of 53830 and 53837 is 7.

GCF(53830,53837) = 7

We will now calculate the prime factors of 53830 and 53837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53830 and 53837.

How to find the GCF of 53830 and 53837?

We will first find the prime factorization of 53830 and 53837. After we will calculate the factors of 53830 and 53837 and find the biggest common factor number .

Step-1: Prime Factorization of 53830

Prime factors of 53830 are 2, 5, 7, 769. Prime factorization of 53830 in exponential form is:

53830 = 2¹ × 5¹ × 7¹ × 769¹

Step-2: Prime Factorization of 53837

Prime factors of 53837 are 7, 7691. Prime factorization of 53837 in exponential form is:

53837 = 7¹ × 7691¹

Step-3: Factors of 53830

List of positive integer factors of 53830 that divides 53830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 769, 1538, 3845, 5383, 7690, 10766, 26915

Step-4: Factors of 53837

List of positive integer factors of 53837 that divides 53830 without a remainder.

1, 7, 7691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53830 and 53837. The biggest common factor number is the GCF number.
So the greatest common factor 53830 and 53837 is 7.

Also check out the Least Common Multiple of 53830 and 53837