What is the Greatest Common Factor of 50480 and 50492?

Greatest common factor (GCF) of 50480 and 50492 is 4.

GCF(50480,50492) = 4

We will now calculate the prime factors of 50480 and 50492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50480 and 50492.

How to find the GCF of 50480 and 50492?

We will first find the prime factorization of 50480 and 50492. After we will calculate the factors of 50480 and 50492 and find the biggest common factor number .

Step-1: Prime Factorization of 50480

Prime factors of 50480 are 2, 5, 631. Prime factorization of 50480 in exponential form is:

50480 = 2⁴ × 5¹ × 631¹

Step-2: Prime Factorization of 50492

Prime factors of 50492 are 2, 13, 971. Prime factorization of 50492 in exponential form is:

50492 = 2² × 13¹ × 971¹

Step-3: Factors of 50480

List of positive integer factors of 50480 that divides 50480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 631, 1262, 2524, 3155, 5048, 6310, 10096, 12620, 25240

Step-4: Factors of 50492

List of positive integer factors of 50492 that divides 50480 without a remainder.

1, 2, 4, 13, 26, 52, 971, 1942, 3884, 12623, 25246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50480 and 50492. The biggest common factor number is the GCF number.
So the greatest common factor 50480 and 50492 is 4.

Also check out the Least Common Multiple of 50480 and 50492