What is the Greatest Common Factor of 40488 and 40495?

Greatest common factor (GCF) of 40488 and 40495 is 7.

GCF(40488,40495) = 7

We will now calculate the prime factors of 40488 and 40495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40488 and 40495.

How to find the GCF of 40488 and 40495?

We will first find the prime factorization of 40488 and 40495. After we will calculate the factors of 40488 and 40495 and find the biggest common factor number .

Step-1: Prime Factorization of 40488

Prime factors of 40488 are 2, 3, 7, 241. Prime factorization of 40488 in exponential form is:

40488 = 2³ × 3¹ × 7¹ × 241¹

Step-2: Prime Factorization of 40495

Prime factors of 40495 are 5, 7, 13, 89. Prime factorization of 40495 in exponential form is:

40495 = 5¹ × 7¹ × 13¹ × 89¹

Step-3: Factors of 40488

List of positive integer factors of 40488 that divides 40488 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 241, 482, 723, 964, 1446, 1687, 1928, 2892, 3374, 5061, 5784, 6748, 10122, 13496, 20244

Step-4: Factors of 40495

List of positive integer factors of 40495 that divides 40488 without a remainder.

1, 5, 7, 13, 35, 65, 89, 91, 445, 455, 623, 1157, 3115, 5785, 8099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40488 and 40495. The biggest common factor number is the GCF number.
So the greatest common factor 40488 and 40495 is 7.

Also check out the Least Common Multiple of 40488 and 40495