What is the Greatest Common Factor of 53935 and 53945?

Greatest common factor (GCF) of 53935 and 53945 is 5.

GCF(53935,53945) = 5

We will now calculate the prime factors of 53935 and 53945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53935 and 53945.

How to find the GCF of 53935 and 53945?

We will first find the prime factorization of 53935 and 53945. After we will calculate the factors of 53935 and 53945 and find the biggest common factor number .

Step-1: Prime Factorization of 53935

Prime factors of 53935 are 5, 7, 23, 67. Prime factorization of 53935 in exponential form is:

53935 = 5¹ × 7¹ × 23¹ × 67¹

Step-2: Prime Factorization of 53945

Prime factors of 53945 are 5, 10789. Prime factorization of 53945 in exponential form is:

53945 = 5¹ × 10789¹

Step-3: Factors of 53935

List of positive integer factors of 53935 that divides 53935 without a remainder.

1, 5, 7, 23, 35, 67, 115, 161, 335, 469, 805, 1541, 2345, 7705, 10787

Step-4: Factors of 53945

List of positive integer factors of 53945 that divides 53935 without a remainder.

1, 5, 10789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53935 and 53945. The biggest common factor number is the GCF number.
So the greatest common factor 53935 and 53945 is 5.

Also check out the Least Common Multiple of 53935 and 53945