What is the Greatest Common Factor of 45704 and 45722?

Greatest common factor (GCF) of 45704 and 45722 is 2.

GCF(45704,45722) = 2

We will now calculate the prime factors of 45704 and 45722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45704 and 45722.

How to find the GCF of 45704 and 45722?

We will first find the prime factorization of 45704 and 45722. After we will calculate the factors of 45704 and 45722 and find the biggest common factor number .

Step-1: Prime Factorization of 45704

Prime factors of 45704 are 2, 29, 197. Prime factorization of 45704 in exponential form is:

45704 = 2³ × 29¹ × 197¹

Step-2: Prime Factorization of 45722

Prime factors of 45722 are 2, 22861. Prime factorization of 45722 in exponential form is:

45722 = 2¹ × 22861¹

Step-3: Factors of 45704

List of positive integer factors of 45704 that divides 45704 without a remainder.

1, 2, 4, 8, 29, 58, 116, 197, 232, 394, 788, 1576, 5713, 11426, 22852

Step-4: Factors of 45722

List of positive integer factors of 45722 that divides 45704 without a remainder.

1, 2, 22861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45704 and 45722. The biggest common factor number is the GCF number.
So the greatest common factor 45704 and 45722 is 2.

Also check out the Least Common Multiple of 45704 and 45722