What is the Greatest Common Factor of 43472 and 43492?

Greatest common factor (GCF) of 43472 and 43492 is 4.

GCF(43472,43492) = 4

We will now calculate the prime factors of 43472 and 43492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43472 and 43492.

How to find the GCF of 43472 and 43492?

We will first find the prime factorization of 43472 and 43492. After we will calculate the factors of 43472 and 43492 and find the biggest common factor number .

Step-1: Prime Factorization of 43472

Prime factors of 43472 are 2, 11, 13, 19. Prime factorization of 43472 in exponential form is:

43472 = 2⁴ × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 43492

Prime factors of 43492 are 2, 83, 131. Prime factorization of 43492 in exponential form is:

43492 = 2² × 83¹ × 131¹

Step-3: Factors of 43472

List of positive integer factors of 43472 that divides 43472 without a remainder.

1, 2, 4, 8, 11, 13, 16, 19, 22, 26, 38, 44, 52, 76, 88, 104, 143, 152, 176, 208, 209, 247, 286, 304, 418, 494, 572, 836, 988, 1144, 1672, 1976, 2288, 2717, 3344, 3952, 5434, 10868, 21736

Step-4: Factors of 43492

List of positive integer factors of 43492 that divides 43472 without a remainder.

1, 2, 4, 83, 131, 166, 262, 332, 524, 10873, 21746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43472 and 43492. The biggest common factor number is the GCF number.
So the greatest common factor 43472 and 43492 is 4.

Also check out the Least Common Multiple of 43472 and 43492