What is the Greatest Common Factor of 2436 and 2451?
Greatest common factor (GCF) of 2436 and 2451 is 3.
GCF(2436,2451) = 3
We will now calculate the prime factors of 2436 and 2451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2436 and 2451.
How to find the GCF of 2436 and 2451?
We will first find the prime factorization of 2436 and 2451. After we will calculate the factors of 2436 and 2451 and find the biggest common factor number .
Step-1: Prime Factorization of 2436
Prime factors of 2436 are 2, 3, 7, 29. Prime factorization of 2436 in exponential form is:
2436 = 22 × 31 × 71 × 291
Step-2: Prime Factorization of 2451
Prime factors of 2451 are 3, 19, 43. Prime factorization of 2451 in exponential form is:
2451 = 31 × 191 × 431
Step-3: Factors of 2436
List of positive integer factors of 2436 that divides 2436 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218
Step-4: Factors of 2451
List of positive integer factors of 2451 that divides 2436 without a remainder.
1, 3, 19, 43, 57, 129, 817
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2436 and 2451. The biggest common factor number is the GCF number.
So the greatest common factor 2436 and 2451 is 3.
Also check out the Least Common Multiple of 2436 and 2451
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