What is the Greatest Common Factor of 52076 and 52080?

Greatest common factor (GCF) of 52076 and 52080 is 4.

GCF(52076,52080) = 4

We will now calculate the prime factors of 52076 and 52080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52076 and 52080.

How to find the GCF of 52076 and 52080?

We will first find the prime factorization of 52076 and 52080. After we will calculate the factors of 52076 and 52080 and find the biggest common factor number .

Step-1: Prime Factorization of 52076

Prime factors of 52076 are 2, 47, 277. Prime factorization of 52076 in exponential form is:

52076 = 2² × 47¹ × 277¹

Step-2: Prime Factorization of 52080

Prime factors of 52080 are 2, 3, 5, 7, 31. Prime factorization of 52080 in exponential form is:

52080 = 2⁴ × 3¹ × 5¹ × 7¹ × 31¹

Step-3: Factors of 52076

List of positive integer factors of 52076 that divides 52076 without a remainder.

1, 2, 4, 47, 94, 188, 277, 554, 1108, 13019, 26038

Step-4: Factors of 52080

List of positive integer factors of 52080 that divides 52076 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 31, 35, 40, 42, 48, 56, 60, 62, 70, 80, 84, 93, 105, 112, 120, 124, 140, 155, 168, 186, 210, 217, 240, 248, 280, 310, 336, 372, 420, 434, 465, 496, 560, 620, 651, 744, 840, 868, 930, 1085, 1240, 1302, 1488, 1680, 1736, 1860, 2170, 2480, 2604, 3255, 3472, 3720, 4340, 5208, 6510, 7440, 8680, 10416, 13020, 17360, 26040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52076 and 52080. The biggest common factor number is the GCF number.
So the greatest common factor 52076 and 52080 is 4.

Also check out the Least Common Multiple of 52076 and 52080