What is the Greatest Common Factor of 61136 and 61152?
Greatest common factor (GCF) of 61136 and 61152 is 16.
GCF(61136,61152) = 16
We will now calculate the prime factors of 61136 and 61152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61136 and 61152.
How to find the GCF of 61136 and 61152?
We will first find the prime factorization of 61136 and 61152. After we will calculate the factors of 61136 and 61152 and find the biggest common factor number .
Step-1: Prime Factorization of 61136
Prime factors of 61136 are 2, 3821. Prime factorization of 61136 in exponential form is:
61136 = 24 × 38211
Step-2: Prime Factorization of 61152
Prime factors of 61152 are 2, 3, 7, 13. Prime factorization of 61152 in exponential form is:
61152 = 25 × 31 × 72 × 131
Step-3: Factors of 61136
List of positive integer factors of 61136 that divides 61136 without a remainder.
1, 2, 4, 8, 16, 3821, 7642, 15284, 30568
Step-4: Factors of 61152
List of positive integer factors of 61152 that divides 61136 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 49, 52, 56, 78, 84, 91, 96, 98, 104, 112, 147, 156, 168, 182, 196, 208, 224, 273, 294, 312, 336, 364, 392, 416, 546, 588, 624, 637, 672, 728, 784, 1092, 1176, 1248, 1274, 1456, 1568, 1911, 2184, 2352, 2548, 2912, 3822, 4368, 4704, 5096, 7644, 8736, 10192, 15288, 20384, 30576
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 61136 and 61152. The biggest common factor number is the GCF number.
So the greatest common factor 61136 and 61152 is 16.
Also check out the Least Common Multiple of 61136 and 61152
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