What is the Greatest Common Factor of 72712 and 72732?
Greatest common factor (GCF) of 72712 and 72732 is 4.
GCF(72712,72732) = 4
We will now calculate the prime factors of 72712 and 72732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72712 and 72732.
How to find the GCF of 72712 and 72732?
We will first find the prime factorization of 72712 and 72732. After we will calculate the factors of 72712 and 72732 and find the biggest common factor number .
Step-1: Prime Factorization of 72712
Prime factors of 72712 are 2, 61, 149. Prime factorization of 72712 in exponential form is:
72712 = 23 × 611 × 1491
Step-2: Prime Factorization of 72732
Prime factors of 72732 are 2, 3, 11, 19, 29. Prime factorization of 72732 in exponential form is:
72732 = 22 × 31 × 111 × 191 × 291
Step-3: Factors of 72712
List of positive integer factors of 72712 that divides 72712 without a remainder.
1, 2, 4, 8, 61, 122, 149, 244, 298, 488, 596, 1192, 9089, 18178, 36356
Step-4: Factors of 72732
List of positive integer factors of 72732 that divides 72712 without a remainder.
1, 2, 3, 4, 6, 11, 12, 19, 22, 29, 33, 38, 44, 57, 58, 66, 76, 87, 114, 116, 132, 174, 209, 228, 319, 348, 418, 551, 627, 638, 836, 957, 1102, 1254, 1276, 1653, 1914, 2204, 2508, 3306, 3828, 6061, 6612, 12122, 18183, 24244, 36366
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72712 and 72732. The biggest common factor number is the GCF number.
So the greatest common factor 72712 and 72732 is 4.
Also check out the Least Common Multiple of 72712 and 72732
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