What is the Greatest Common Factor of 53661 and 53670?

Greatest common factor (GCF) of 53661 and 53670 is 3.

GCF(53661,53670) = 3

We will now calculate the prime factors of 53661 and 53670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53661 and 53670.

How to find the GCF of 53661 and 53670?

We will first find the prime factorization of 53661 and 53670. After we will calculate the factors of 53661 and 53670 and find the biggest common factor number .

Step-1: Prime Factorization of 53661

Prime factors of 53661 are 3, 31, 577. Prime factorization of 53661 in exponential form is:

53661 = 3¹ × 31¹ × 577¹

Step-2: Prime Factorization of 53670

Prime factors of 53670 are 2, 3, 5, 1789. Prime factorization of 53670 in exponential form is:

53670 = 2¹ × 3¹ × 5¹ × 1789¹

Step-3: Factors of 53661

List of positive integer factors of 53661 that divides 53661 without a remainder.

1, 3, 31, 93, 577, 1731, 17887

Step-4: Factors of 53670

List of positive integer factors of 53670 that divides 53661 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1789, 3578, 5367, 8945, 10734, 17890, 26835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53661 and 53670. The biggest common factor number is the GCF number.
So the greatest common factor 53661 and 53670 is 3.

Also check out the Least Common Multiple of 53661 and 53670