What is the Greatest Common Factor of 45034 and 45048?

Greatest common factor (GCF) of 45034 and 45048 is 2.

GCF(45034,45048) = 2

We will now calculate the prime factors of 45034 and 45048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45034 and 45048.

How to find the GCF of 45034 and 45048?

We will first find the prime factorization of 45034 and 45048. After we will calculate the factors of 45034 and 45048 and find the biggest common factor number .

Step-1: Prime Factorization of 45034

Prime factors of 45034 are 2, 11, 23, 89. Prime factorization of 45034 in exponential form is:

45034 = 2¹ × 11¹ × 23¹ × 89¹

Step-2: Prime Factorization of 45048

Prime factors of 45048 are 2, 3, 1877. Prime factorization of 45048 in exponential form is:

45048 = 2³ × 3¹ × 1877¹

Step-3: Factors of 45034

List of positive integer factors of 45034 that divides 45034 without a remainder.

1, 2, 11, 22, 23, 46, 89, 178, 253, 506, 979, 1958, 2047, 4094, 22517

Step-4: Factors of 45048

List of positive integer factors of 45048 that divides 45034 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1877, 3754, 5631, 7508, 11262, 15016, 22524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45034 and 45048. The biggest common factor number is the GCF number.
So the greatest common factor 45034 and 45048 is 2.

Also check out the Least Common Multiple of 45034 and 45048